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How to distribute a set of points uniformly on a spherical surface is a very old problem that still lacks a definite answer. In this work, we introduce a physical measure of uniformity based on the distribution of distances between points,…

Statistical Mechanics · Physics 2025-01-09 Luca Maria Del Bono , Flavio Nicoletti , Federico Ricci-Tersenghi

This paper presents a novel algorithmic framework for the computational design, simulation, and fabrication of a hexagonal grid-based double-curvature structure with planar hexagonal panels. The journey begins with constructing a robust…

Computational Geometry · Computer Science 2025-07-23 Mehdi Gorjian , Gregory A. Luhan , Stephen M. Caffey

A surface is considered flexible if it allows a continuous deformation that preserves both metric and smoothness. We introduce a novel construction method, called 'base + crinkle,' for generating a broad class of non-self-intersecting…

Metric Geometry · Mathematics 2025-11-11 Zeyuan He , Simon D. Guest

We present OpenSR-SRGAN, an open and modular framework for single-image super-resolution in Earth Observation. The software provides a unified implementation of SRGAN-style models that is easy to configure, extend, and apply to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Simon Donike , Cesar Aybar , Julio Contreras , Luis Gómez-Chova

A new formula is obtained in algebraic topology, in terms of Betti numbers, and a new method, called the spinal method, is suggested and developed for generating quadrangulations of closed orientable surfaces. Those surfaces arise as the…

Combinatorics · Mathematics 2013-08-14 Serge Lawrencenko

Given trajectories with gaps, we investigate methods to tighten spatial bounds on areas (e.g., nodes in a spatial network) where possible rendezvous activity could have occurred. The problem is important for reducing the onerous amount of…

Databases · Computer Science 2022-06-28 Arun Sharma , Jayant Gupta , Subhankar Ghosh

We introduce a graphical method originating from the computer graphics domain that is used for the arbitrary and intuitive placement of cells over a two-dimensional manifold. Using a bitmap image as input, where the color indicates the…

Neural and Evolutionary Computing · Computer Science 2018-03-23 Nicolas P. Rougier

Let $\Omega$ be a planar Jordan domain. We consider double-dome-like surfaces $\Sigma$ defined by graphs of functions of $dist( \cdot ,\partial \Omega)$ over $\Omega$. The goal is to find the right conditions on the geometry of the base…

Metric Geometry · Mathematics 2017-07-03 Vyron Vellis , Jang-Mei Wu

Given a designer created free-form surface in 3d space, our method computes a grid composed of elastic elements which are completely planar and straight. Only by fixing the ends of the planar elements to appropriate locations, the 2d grid…

Graphics · Computer Science 2021-11-18 Stefan Pillwein , Przemyslaw Musialski

The Sloan Digital Sky Survey (SDSS) will observe around 10^6 spectra from targets distributed over an area of about 10,000 square degrees, using a multi-object fiber spectrograph which can simultaneously observe 640 objects in a circular…

Astrophysics · Physics 2010-11-04 M. R. Blanton , R. H. Lupton , F. Miller Maley , N. Young , I. Zehavi , J. Loveday

MAGRATHEA is an open-source planet structure code that considers the case of fully differentiated spherically symmetric interiors. Given the mass of each layer and the surface temperature, the code iterates the boundary conditions of the…

Earth and Planetary Astrophysics · Physics 2022-05-04 Chenliang Huang , David R. Rice , Jason H. Steffen

Global Navigation Satellite Systems (GNSS) are a widely used technology for positioning and navigation. GNSS positioning relies on pseudorange measurements from satellites to receivers. A pseudorange is the apparent distance between two…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

In this paper, we introduce an alternative representation of the electromagnetic field scattered from a homogeneous sphere coated with a homogeneous layer of uniform thickness. Specifically, we expand the scattered field using a set of…

Optics · Physics 2017-08-02 Mariano Pascale , Giovanni Miano , Carlo Forestiere

Digital co-addition of astronomical images is a common technique for increasing signal-to-noise and image depth. A modification of this simple technique has been applied to the detection of minor bodies in the Solar System: first stationary…

Earth and Planetary Astrophysics · Physics 2015-05-18 Alex H. Parker , JJ. Kavelaars

Using photonic devices, we developed a new approach to traditional spectroscopy where the spectral cross-correlation with a template spectrum can be done entirely on-device. By creating photonic devices with a carefully designed, modulated…

The angular power spectrum is a natural tool to analyse the observed galaxy number count fluctuations. In a standard analysis, the angular galaxy distribution is sliced into concentric redshift bins and all correlations of its harmonic…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-14 Guglielmo Faggioli , Konstantinos Tanidis , Stefano Camera

We present an algorithm for resampling a function from its values on a non-Cartesian grid onto a Cartesian grid. This problem arises in many applications such as MRI, CT, radio astronomy and geophysics. Our algorithm, termed SParse Uniform…

Information Theory · Computer Science 2016-03-17 Amir Kiperwas , Daniel Rosenfeld , Yonina C. Eldar

In this paper, we propose a new approach for building cellular automata to solve real-world segmentation problems. We design and train a cellular automaton that can successfully segment high-resolution images. We consider a colony that…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Mark Sandler , Andrey Zhmoginov , Liangcheng Luo , Alexander Mordvintsev , Ettore Randazzo , Blaise Agúera y Arcas

A method is suggested for construction of quadrangulations of the closed orientable surface with given genus g and either (1) with given chromatic number or (2) with given order allowed by the genus g. In particular, N. Hartsfield and G.…

Combinatorics · Mathematics 2013-12-19 Serge Lawrencenko

Controlling segregation is both a practical and a theoretical challenge. In this Letter we demonstrate a manner in which rotation-induced segregation may be controlled by altering the geometry of the rotating containers in which granular…

Soft Condensed Matter · Physics 2014-10-24 S. Gonzalez , C. R. K. Windows-Yule , S. Luding , D. J. Parker , A. R. Thornton